Pith Number

pith:5Q3OKGDN

pith:2026:5Q3OKGDNRPQJWDLYXDPETVK35V

not attested not anchored not stored refs pending

Evolving edge weights via local entropy flow and cohesion flow on graphs

Jicheng Ma, Juan Zhao, Liang Zhao, Yunyan Yang

arxiv:2606.26750 v1 · 2026-06-25 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q3OKGDNRPQJWDLYXDPETVK35V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-26T01:15:58.718781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec36e5186d8be09b0d78b8de49d55bed6badd3f52f2aad4b7dd64f812703edae

Aliases

arxiv: 2606.26750 · arxiv_version: 2606.26750v1 · doi: 10.48550/arxiv.2606.26750 · pith_short_12: 5Q3OKGDNRPQJ · pith_short_16: 5Q3OKGDNRPQJWDLY · pith_short_8: 5Q3OKGDN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5Q3OKGDNRPQJWDLYXDPETVK35V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ec36e5186d8be09b0d78b8de49d55bed6badd3f52f2aad4b7dd64f812703edae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7371a1249f60915f61abd9c614fa109b2bdbea677f6cdf482d5fa61a5d99cf00",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-25T08:35:18Z",
    "title_canon_sha256": "f2b1fb72607c6388227f0f1a63ec5e1704211db7a3088f1801d25096c1eb5d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26750",
    "kind": "arxiv",
    "version": 1
  }
}